$\left(m_{1},m_{2}\right)$-GG Convex Functions and Related Inequalities

Abstract

In this manuscript, we introduce and study the concept of $\left( m_{1},m_{2}\right) $-GG convex functions and some algebraic properties of them. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced class of functions by using an identity and Hölder, Hölder-İşcan, power-mean and improved power-mean integral inequalities.                                                                                                                                                                                                                                                                                                                                                          

Keywords

• Convex function
• geometric convexity
• GG-convex function
• (m1;m2)-GG convex function
• Hermite-Hadamard type inequalities

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